Results 31 to 40 of about 312,373 (317)
Sharp bounds for a ratio of the q-gamma function in terms of the q-digamma function
Journal of Inequalities and Applications, 2021 In the present paper, we introduce sharp upper and lower bounds to the ratio of two q-gamma functions Γ q ( x + 1 ) / Γ q ( x + s ) ${\Gamma }_{q}(x+1)/{\Gamma }_{q}(x+s)$ for all real number s and 0 < q ≠ 1 $0< q\neq1$ in terms of the q-digamma function.
Faris Alzahrani +2 more
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Robust chaos generation by a perceptron
, 2000 The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined.
Kanter, I., Priel, A.
core +3 more sources
Some completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2019 Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.
Peng Gao
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Journal of Mathematical Analysis and Applications, 2008 We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise the notions of coherence and natural extension in the behavioural theory of imprecise probabilities. We improve upon a number of results in the literature, and
de Cooman, Gert +2 more
openaire +4 more sources
On testing exponentiality under Type-I censoring
Frontiers in Applied Mathematics and Statistics, 2023 Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose.
Reza Pakyari, Omama M. Al-Hamed
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On the inevitability of the consistency operator
, 2019 We examine recursive monotonic functions on the Lindenbaum algebra of $\mathsf{EA}$. We prove that no such function sends every consistent $\varphi$ to a sentence with deductive strength strictly between $\varphi$ and $(\varphi\wedge\mathsf{Con}(\varphi))
Montalbán, Antonio, Walsh, James
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On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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Two Approximation Formulas for Bateman’s G-Function with Bounded Monotonic Errors
Mathematics, 2022 Two new approximation formulas for Bateman’s G-function are presented with strictly monotonic error functions and we deduced their sharp bounds. We also studied the completely monotonic (CM) degrees of two functions involving G(r), deducing two of its ...
Mansour Mahmoud, Hanan Almuashi
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RG flows, cycles, and c-theorem folklore
, 2011 Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monotonic
A. B Zamolodchikov +3 more
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On the Laplace transform of absolutely monotonic functions
, 2016 We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function.
Koumandos, Stamatis, Pedersen, Henrik L.
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